Geometrodynamics: Spacetime or Space ?

Details Geometrodynamics: Spacetime or Space ? Geometrodynamics: Spacetime or Space ?

2004-09-30

arxiv.org/abs/gr-qc/0409123v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Thesis, University of London, Examined in June by Prof Chris Isham and Prof James Vickers. 226 pages including 21 figures

Scientific paper

This thesis concerns the split of Einstein's field equations (EFE's) with respect to nowhere null hypersurfaces. Areas covered include A) the foundations of relativity, deriving geometrodynamics from relational first principles and showing that this form accommodates a sufficient set of fundamental matter fields to be classically realistic, alternative theories of gravity that arise from similar use of conformal mathematics. B) GR Initial value problem (IVP) methods, the badness of timelike splits of the EFE's and studying braneworlds under guidance from GR IVP and Cauchy problem methods.

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